Geodesic
Fractal dimension of sets induced by bases of imaginary quadratic fields
Mathematica slovaca, Tome 48 (1998) no. 4, pp. 365-371
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Classification : 11A63, 11R11, 28A80 
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Thuswaldner, Jörg M. Fractal dimension of sets induced by bases of imaginary quadratic fields. Mathematica slovaca, Tome 48 (1998) no. 4, pp. 365-371. http://geodesic.mathdoc.fr/item/MASLO_1998_48_4_a3/

[1] BOREWICS S. I.-ŠAFAREVIČ I. R.: Zahlentheorie. Birkhäuser, Basel, Stuttgart, 1966. | MR

[2] GILBERT W. J.: The fractal dimension of sets derived from complex bases. Canad. Math. Bull. 29 (1986), 495-500. | MR | Zbl

[3] KÁTAI I.: Number systems and fractal geometry. Preprint. | Zbl

[4] KÁTAI I.-KOVÁCS B.: Kanonische Zahlensysteme in der Theorie der Quadratischen Zahlen. Acta Sci. Math. (Szeged) 42 (1980), 99-107. | MR

[5] KÁTAI I.-KOVÁCS B.: Canonical number systems in imaginary quadratic fields. Acta Math. Hungar. 37 (1981), 159-164. | MR | Zbl

[6] KÁTAI I.-SZABÓ J.: Canonical number systems for complex integers. Acta Sci. Math. (Szeged) 37 (1975), 255-260. | MR | Zbl

[7] KOVÁCS B.: Canonical number systems in algebraic number fields. Acta Math. Hungar. 37 (1981), 405-407. | MR | Zbl

[8] KOVÁCS B.-PETHÖ A.: Number systems in integral domains, especially in orders of algebraic number fields. Acta Sci. Math. (Szeged) 55 (1991), 286-299. | MR | Zbl